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This means that if we were to start at any point `N` and add up the positive terms
after that point in order, then the partial sums would be unbounded above. Likewise
if we added up the negative terms following `N` in order then the sequence of partial
sums would be unbounded below.
Question:
What happens if the very first term is already greater than `a`?
`s`_{m} converge
to `a`.
Question:
Try to prove this. (The simple
properties of the absolute value function may help.)

Question:
How do we know that the sum ever reaches values greater than `a`?

Question:
How do we know that the point `k _{1}` is ever reached?